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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. A rectangular loop in the x-z plane bounded by the lines
    x = 0, x = a, z = 0 and z = b, in a time-varying magnetic field given by
    B = B0 cos ωt ay
    where B0 is a constant, ω is the angular frequency and – ay is the unit vector in the y-direction. The emf induced in the loop is given by—
    1. ab B0 cos ωt
    2. ab B0 ω sin ωt
    3. B0 ω sin ωt
    4. Zero
Correct Option: B

B = B0 cos ωt + iy
Again | e (t) | = d/ dt (ab B0 cos ωt)
= ab B0 ω sin ωt



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